I am trying to draw an arc based on How is arc defined in TikZ?

%\draw[red] (2+0.02*cos(330),2+0.02*sin(330)) arc (330:90:0.02);
\draw[red] (0,0) arc (330:90:3);

But the arc is not what I expected. In fact, the part of arc that is missing is what I want. I checked the coordinate and believe it is consistent with the link I provided. Anything wrong?

BTW, the code that is noted is what I really want to write. But it seems that "2+0.02*cos(330)" is an illegitimate expression. How shall I fix it?

enter image description here

  • Can you please add a screenshot and indicate there, which part you are missing?
    – MS-SPO
    Jun 22 at 19:53
  • 1
    @MS-SPO Thank you for reminding me. The screenshot is added.
    – Ypbor
    Jun 22 at 19:55
  • Whenever a coordinate expression contains parentheses, you need to wrap the entire component in {}, i.e. ({...}, {...}) instead of (..., ...) where ... contains (). Jun 22 at 19:57
  • However, if the part of the arc that is missing is what you want, then \draw[red] (0,0) arc (-30:90:3);? Jun 22 at 20:00

3 Answers 3


The arc( : : ) notation is discouraged, but still do work. Here are your arcs with the new notation

\documentclass[tikz, border=1cm]{standalone}
\draw[red] ({2+0.02*cos(330)} ,{2+0.02*sin(330)}) arc[start angle=330, end angle=90, radius=2];
\draw[green] (0,0) arc[start angle=330, end angle=90, radius=3];
\draw[blue] (0,0) arc[start angle=-30, end angle=90, radius=3];

Three arcs

  • 1
    Thanks! But what is the difference between 330 and -30? They have the same sin and cos.
    – Ypbor
    Jun 22 at 20:04
  • It is not about the sin and cos, but wether the angle difference(from start to end) is positive or negative. Jun 22 at 20:05
  • @Ypbor With the new notation you can also specify a delta angle which can be positive or negative. I.e. \draw[green] (0,0) arc[start angle=330, delta angle=120, radius=3];, which means start the arc covers the sector from 330 degrees to 330+120 degrees. Jun 22 at 20:12

Here you have a long code with different example. The code is commented and so dont need more explications.

% short memento for Tikz package  # 2
% by Raffaele Santoro (Bologna)
% 20/01/2022
% it is recommanded to print the output on a color printer


        % grid and axis
        \draw[gray!15] (-9,-9) grid (9,9);
        \draw[line width=.5pt,-latex] (-9,0)--(9,0) node[right] () {\small $x$};
        \draw[line width=.5pt,-latex] (0,-9)--(0,9) node[above] () {\small $y$};
        \foreach \i in {-9,-8,...,-1,1,2,...,9}{
            \draw[thick] (\i,0)--(\i,-.05) node[below] () {\footnotesize \bfseries \i} ;
            \draw[thick] (0,\i)--(-.05,\i) node[left]  () {\footnotesize \bfseries \i} ;
            \node[below left] at (0,0) {\footnotesize \bfseries 0};
        % shading rectangle, circles, ellipses
        \draw[shade,cyan,line width=2,rounded corners=15pt,top color=blue,bottom
         color=yellow,opacity=.6] (1,1) rectangle (4,5);
        \draw[shade,cyan,line width=2,rounded corners=8pt,top color=magenta,bottom
         color=blue,opacity=.6] (6,1) rectangle (9,5);
        \draw[red,line width=2pt] (-9,1) rectangle (-6,3);
        \draw[cyan,fill=red] (-9,6) rectangle +(2,1);
        \draw[cyan,fill=yellow] (8,6) circle(.7);
        \draw[shade,line width=2,cyan,top color=blue,bottom color=yellow] (6,8) circle(2.5 and 1);
        % draw lines, vectors, poligons
        \draw[red,fill=cyan] (-5,-6)--(-3,-5)--(-1,-3)--(-3,-4)--cycle;
        \draw[red,line width=2,<-] (-8,-2)--(-4,-3);
        \draw[green,dashed,line width=2] (-5,-4)--(-1,-2);
        \draw[blue,line width=3pt,-latex] (-8,-6)--(-5,-9);
        \filldraw[cyan,top color=blue,bottom color=yellow,opacity=.5] (5,5) circle(2);
        \draw[cyan,top color=blue,bottom color=yellow] (2,8) circle(1);
        % arcs
        \draw[blue,line width=9pt,-stealth] (-5,5) arc (180:-180:2); % circular arrowed arc
        \draw[yellow,line width=1pt,-latex] (-5,5) arc (180:60:2); % circular arrowed arc
        \draw[cyan,line width=2] (-4,1) arc (0:120:3); % circular arc
        \draw[green,line width=2,-stealth] (-3,1) arc (180:0:1 and 1.5);% elliptical arrowed arc
        % draw functions
        \draw[smooth, domain = 0:3*pi, color=blue,very thick] plot (\x,{sin(\x r)-5});% r is for radiants
            \node[blue,above] at (7.5,-4) () {$y=\sin x -5$};
        \draw[smooth, domain = 0:2*pi, color=red, very thick] plot (\x,{2*sin(\x r)-5});
            \node[red,above] at (7.2,-6) () {$y=2\sin x -5$};
        \draw[smooth, domain = 0:2*pi, color=cyan, very thick] plot (\x,{3*cos(2*\x r)-5});
            \node[cyan,above] at (3,-2) () {$y=3\cos 2x -5$};   
        \draw[smooth, domain = 1:7, color=brown,line width=3pt] plot (\x,{(\x-4)^2-9});
            \node[brown] at (6.2,-8.5) () {$y=(x-4)^2-9$};  

% from this point you need the \usetikzlibrary{calc}
        \draw [gray!15] (0,-1) grid (5,3);
        \coordinate [label=below:{$A$}] (A) at (0,0);
        \coordinate [label=below:\textcolor{blue}{$B$}] (B) at (4,2);
        \draw[cyan,line width=2pt] (A) -- (B);
        \filldraw (A) circle(2pt);
        \filldraw (B) circle(2pt);
        \coordinate [label=below:\textcolor{red}{$M$}] (M) at ($ (A)!0.5!(B) $); % median 
        point of segment AB. The number 0.5 can change from 0.0 (M=A) to 1.0 (M=B)
        \coordinate [label=above:{$H$}] (H) at ($ (M)!2cm!90:(B) $);% point H on the
         perpendicular to AB via the point M. Segment MH=2 cm
        \coordinate [label=above:\textcolor{red}{$P$}] (P) at ($ (A)!0.75!(B) $);
        \coordinate [label=below:{$K$}] (K) at ($ (P)!1.5cm!-90:(B) $);
        \draw[cyan,dashed] (M) -- (H) node[sloped,pos=0.5,below] {2cm};% you can write 
        'midway' in alternative to 'pos=0.5'
        \draw[cyan,dashed] (P) -- (K) node[sloped,pos=0.5,below] {1.5cm};
        \filldraw[red] (M) circle(2pt);
        \filldraw (H) circle(2pt);
        \filldraw[red] (P) circle(2pt);
        \filldraw (K) circle(2pt);
    % first option for a grid like a millimetral grahic paper (next 3 lines)
    \draw[thin,brown!25] (-.5,-1.5) grid[step= 1mm] ++ (7.5,3);
    \draw[semithick,brown!25]   (-.5,-1.5) grid[step= 5mm] ++  (7.5,3);
    \draw[    thick,brown!75]   (-.5,-1.5) grid[step=10mm] ++  (7.5,3);
    % second option for a grid in dotted gray in next line (uncomment the next line 
    but comment the preceding 3 lines)
    %\draw[dotted] (-0,-1) grid (6.5,1);
    % x axis and its label
    \draw[->] (-.5,0) -- (6.5,0) node[right] {$x$};
    % x axis graduations in integers 
    \foreach \x in {1,2,...,6}
    \fill[shift={(\x,0)}] circle(.5pt) node[above] {\tiny $\x$};
    % x axis graduations in \pi
    \foreach \x /\n in {.7854/$\frac{\pi}{4}$,1.5708/$\frac{\pi}{2}$,2.3562/$\frac34\pi$,3.1416/$\pi$,3.9270/$
        \frac54\pi$,4.7124/$\frac32\pi$,5.4978/$\frac74\pi$,6.2832/$2\pi$} \draw[shift={(\x,0)}]
     (0pt,2pt) -- (0pt,-2pt) node[below] {\tiny \n};
    % y axis, its label and graduations
    \draw[->] (0,-1.5) -- (0,1.5) node[below right] {$y$};
    \foreach \y in {-1,1}
    \draw[shift={(0,\y)}] (2pt,0pt) -- (-2pt,0pt) node[left] {\tiny $\y$};
    \node[below left] at (0,0) {\tiny $0$};
    % draw functions
    \draw[smooth,blue,mark=none,domain=0:6.283,line width=1.5pt] plot (\x,{sin(deg(\x))});
    \draw[smooth,magenta,mark=none,domain=-0:6.283,line width=1.5pt] plot (\x,{cos(deg(\x))});
    % draw the functions names
    \draw[] (2,-1) node[magenta,below](1) {$y=\cos x$};
    \draw[] (2,1) node[blue,above](1) {$y=\sin x$};
    %\draw[semithick] plot[domain=0:540,samples=200] (\x:{1+cos(\x)});
    % plot the intersections points A and B
    \fill[black,shift={(3.9270,-.707)}] circle(1.5pt) node[below] {\tiny B};
    \fill[black,shift={(.7854,.707)}] circle(1.5pt) node[above] {\tiny A};
    % draw the exact coordinates of A and B
    \draw[] (5,-.95) node[below] (3) {\tiny A$\left(\frac{\pi}{4},\frac{\sqrt2}{2}\right)$ 
        \quad \tiny B$\left(\frac{5}{4}\pi,-\frac{\sqrt2}{2}\right)$};



enter image description here


Here you have some arcs. The grid and rhe different colors can help you to fix the commands:

        \draw[line width=1.5pt,-latex] (-1.5,0)--(9.7,0) node[below] (1) {$x$};
        \draw[line width=1.5pt,-latex] (0,-2.5)--(0,3.7) node[left] (2) {$y$};
        \draw[gray!20,line width=.2pt] (-1.5,-2.5) grid (9.5,3.5);
        \draw[red,ultra thick,->] (3,0) arc (180:0:3);
        \draw[red,ultra thick,->] (3,0) arc (-180:0:1.5);
        \node[red] at (4.5,-1.2) (a) {(1)}; % <-- name the path
        \draw[green,ultra thick,-latex] (3,0) arc (-180:0:2.5);
        \node[green] at (5.5,-2.2) (a) {(2)}; % <-- name the path
        \draw[red,ultra thick, <->] (3,0) arc (180:0:2);
        \draw[red,ultra thick, -latex] (3,0) arc (180:0:1);
        \draw[cyan,ultra thick, -latex] (3,0) arc (0:135:1) node (1) {};
        \filldraw[shade,blue] (3,0) arc (0:-180:2);


enter image description here

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